Integrable perturbations of conformal field theories and Yetter-Drinfeld modules

被引：2

作者：

Buecher, David ^{[1
]}

Runkel, Ingo ^{[2
]}

机构：

[1] Univ Gottingen, RTG Math Struct Modern Quantum Phys, Bunsenstr 3-5, D-37073 Gottingen, Germany

[2] Univ Hamburg, Fachbereich Math, D-20146 Hamburg, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2014年 / 55卷 / 11期

关键词：

TENSOR CATEGORIES; Q-OPERATOR; QUANTUM; CONSTRUCTION; ALGEBRAS; DEFECTS; SURFACES; DUALITY;

D O I：

10.1063/1.4902003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we relate a problem in representation theory - the study of Yetter-Drinfeld modules over certain braided Hopf algebras - to a problem in two-dimensional quantum field theory, namely, the identification of integrable perturbations of a conformal field theory. A prescription that parallels Lusztig's construction allows one to read off the quantum group governing the integrable symmetry. As an example, we illustrate how the quantum group for the loop algebra of sl(2) appears in the integrable structure of the perturbed uncompactified and compactified free boson. (C) 2014 AIP Publishing LLC.

引用

页数：49

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